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Math Help - Fourier series of sinc(x)?

  1. #1
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    Fourier series of sinc(x)?

    Hey guys, first time poster here.

    I'm recently studying theories behind MRI and the function sinc(x) comes up alot. As far as I know, it's the function used for the RF pulse because its FT is a square function.

    Now, what I'm wondering, though, is what is the Fourier series of sinc(x)?
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  2. #2
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    Quote Originally Posted by Hahutzy View Post
    Hey guys, first time poster here.

    I'm recently studying theories behind MRI and the function sinc(x) comes up alot. As far as I know, it's the function used for the RF pulse because its FT is a square function.

    Now, what I'm wondering, though, is what is the Fourier series of sinc(x)?
    sinc(x) doesn't have a Fourier series because it's not periodic.
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Hahutzy View Post
    Hey guys, first time poster here.

    I'm recently studying theories behind MRI and the function sinc(x) comes up alot. As far as I know, it's the function used for the RF pulse because its FT is a square function.

    Now, what I'm wondering, though, is what is the Fourier series of sinc(x)?
    Perhaps you mean Fourier transform?

    -Dan
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  4. #4
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    Thanks mr fantastic, I got so focussed on trying to figure out a relationship between Series and Transform (I know they're posted everywhere, but I learn better from doing then reading) of sinc(x) that I kinda forgot about that...


    Edit:

    Quote Originally Posted by topsquark View Post
    Perhaps you mean Fourier transform?
    -Dan
    No, I did not. I know the FT is a square, as mentioned in the first post.
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